What is the test for waiver of Miranda rights?

In this case the district court conducted an independent review and concluded that petitioner failed to satisfy his burden of proving that his constitutional rights were violated. Substantially for the reasons articulated by the district court, see Whitaker v. Meachum, No. 2:92CV689, 1996 WL 912158(D.Conn. Mar. 13, 1996), we agree that petitioner voluntarily, knowingly, and intelligently waived his Miranda rights and that his subsequent inculpatory statements to police were properly admitted into evidence.